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Finding the Fourth Proportional to 12,037.99, 16,614 and 6,733.90

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Solution

The fourth proportional to 12,037.99, 16,614 and 6,733.90 is: 9,293.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,037.99 : 16,614 = 6,733.90 : x
  2. Step 2: Convert to fraction form
    12,037.99/16,614 = 6,733.90/x
  3. Step 3: Cross multiply
    12,037.99x = 16,614 × 6,733.90
  4. Step 4: Simplify right side
    12,037.99x = 111,877,014.60
  5. Step 5: Solve for x
    x = 111,877,014.60/12,037.99
  6. Step 6: Final answer
    x = 9,293.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.